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Book synopsis

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. Covering the basics as well as recent research results, this book provides a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Computability and Randomness
• Author: Andre Nies
• Language: English
• Binding: Hardback
• Number of pages: 450
• EAN: 9780199230761
• ISBN: 0199230765
• ID: 04529679
• Publisher: Oxford University Press
• Weight: 811 g
• Dimensions: 239 × 162 × 27 mm
• Date of publishing: 29. January 2009

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